Ascale drawing of a swimming pool has 1cm to 1m how long and how wide is the actual swimming pool

A)

Note that              

Lower Bound = X - z(alpha/2) * s / sqrt(n)              

Upper Bound = X + z(alpha/2) * s / sqrt(n)              

where              

alpha/2 = (1 - confidence level)/2 =    0.025          

X = sample mean =    1723.4          

z(alpha/2) = critical z for the confidence interval =    1.959963985          

s = sample standard deviation =    89.55083319          

n = sample size =    30          

Thus,              

Lower bound =    1691.355235          

Upper bound =    1755.444765          

Thus, the confidence interval is              

(   1691.355235   ,   1755.444765   ) [ANSWER]

b)

We assumed taht the distirbution of these observations is approximately normally distributed.

c)

Yes, because the values are not far away from each other.